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math.NA2024
Numerical analysis of a class of penalty discontinuous Galerkin methods for nonlocal diffusion problems
Qiang Du, Lili Ju, Jianfang Lu +1
In this paper, we consider a class of discontinuous Galerkin (DG) methods for one-dimensional nonlocal diffusion (ND) problems. The nonlocal models, which are integral equations, a…
math.NA2024
Asymptotically compatible schemes for nonlinear variational models via Gamma-convergence and applications to nonlocal problems
Qiang Du, James M. Scott, Xiaochuan Tian
We present a study on asymptotically compatible Galerkin discretizations for a class of parametrized nonlinear variational problems. The abstract analytical framework is based on v…